Atkin-Lehner |
3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120099y |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-43187044221531 = -1 · 35 · 76 · 19 · 433 |
Discriminant |
Eigenvalues |
-2 3- -3 7- -2 -2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-51662,4513520] |
[a1,a2,a3,a4,a6] |
Generators |
[268:-3161:1] |
Generators of the group modulo torsion |
j |
-129615674355712/367083819 |
j-invariant |
L |
2.2417669660345 |
L(r)(E,1)/r! |
Ω |
0.64382483433689 |
Real period |
R |
0.11606505440535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2451e1 |
Quadratic twists by: -7 |